5.1 Maximum Power Calculations (scenario 1):

The first scenario is initiating motion on an inclined plane. In this case the vehicle is at rest on an inclined plane of 10° (assumption) and we must calculate the power to initiate movement and to sustain a constant velocity (acceleration is equal to zero).

i. Motion Resistive Force

The force required to overcome the frictional force is calculated as follows:

Normal Force = (mass x g) cos theta

Force required = 0.0055 x Normal Force = 2.548 N

But in this case we have to overcome the (mass x g) component in the inclined plane direction therefore we have to add [(mass x g) sin theta] to (Force required). The total required force in this case:

(0.0055 x 470 cos 10) + (48 x 9.8) sin 10 = 84.232 N (total resisting force)

ii. Torque Calculation

Going back to torque equation now we can calculate the torque. In this case we will use the required force equal to the resistive force because the acceleration is assumed zero (no acceleration required in the inclined plane scenario).

Torque = Force x raduis = 84.232 x 0.3302 = 27.81 N

Total Torque = 2 x 27.81 = 55.627 N

iii. Power Calculation

Going back to torque equation now we can calculate the torque.

Power = Torque x rotational speed = 55.627 x 6.73 = 374.365 W